Sore throat, very smooth oral mucosa, bad mouth taste and tingling lips and itchy rash on hands feet and lips together with UTI, any possible diagnosis?

Multiple. You have a variety of symptoms involving lips, hands, feet, urinary tract , mouth..that it is difficult to guess at a diagnosis. Please see a family doctor to get an accurate history as to duration and severity and sequence of your symptoms. After some testing,a diagnosis will be reached.Best of luck and salaams.